Coordinate Algebra

One Step Equation

100

2x=180

x=90

200

8-2x=88

x=-40

300

-5x+15=25

x=-2

400

-1/2+x=9

x=9.5

500

x/7-20x15=6

x=2142

Linear Equation

100

solver for y in decimal form -4x2y=-12

y=1.5

200

solve the inequality for x 2x-3>-4x+5

x>4/3

300

find the domain and range for 0.5(3q+87)=1.5q+43.5

(−∞,∞)

400

solve for Y y-7=4/3x(x+3)

y=11

500

(-4,y) and (10, -2.5);m=-5/8

y=6.25

Quadratic Function

100

3x^2+6x+3=0

X = -1

200

2x^2=98

X = 7 or X = -7

300

10x^2+20x-71=9

X = 2 or X = -4

400

4x^2-6x-13=-15

X = 1 or X = 1/2

500

16x^2-10=8x

X = 1/4+1/4 square root of 11 or X = 1/4+-1/4 square root of 11

Polynomial Expression

100

Add the polynomials 5x – 2 + y and –3y + 5x + 2

10x – 2y

200

Find the sum of –7x3y + 4x2y2 – 2 and 4x3y + 1 – 8x2y2

 –3x3y – 4x2y2 – 1

300

Simplify (5x2 + 2) – (– 4x2 + 7) + (– 3x2 – 5)

6x2 – 10

400

(5 + 24y3 - 7y2) + (-6y3 + 7y2 + 5)

18y3+10

500

(-9y3 - 6y2 - 11x + 2) - (-9y4 - 8y3 + 4x2 + 2x)

9y4-y3-4x2-6y2-13x+2

complex numbers and operations

100

(2+7i)+(3−4i)=(2+3)+(7+(−4))i

5+3i

200

(9+5i)−(4+7i)=(9−4)+(5−7)i

5−2i

300

(3+2i)(5+6i)=15+18i+10i+12

3+28i

400

(2+3i)⋅(1−5i)

17-7i

500

3 + 2i/4 − 5i=3 + 2i/4 − 5i⋅4 + 5i/4 + 5i

=2/41+23/41i